Two opposing players in “Capture the Flag” are 100 feet apart. On a signal, they
run to capture a flag that is on the ground midway between them. The faster
runner, however, hesitates for 0.1 second. Find parametric equations that model
the race to the flag. The faster runner’s speed is 10 fps and the other runner is 9
fps.
a. Simulate the game in a viewing window with t starting at 0. Graph
simultaneously.
b. Who captures the flag and by how many feet?

Question

Two opposing players in “Capture the Flag” are 100 feet apart. On a signal, they
run to capture a flag that is on the ground midway between them. The faster
runner, however, hesitates for 0.1 second. Find parametric equations that model
the race to the flag. The faster runner’s speed is 10 fps and the other runner is 9
fps.
a. Simulate the game in a viewing window with t starting at 0. Graph
simultaneously.
b. Who captures the flag and by how many feet?

anonymous · Answer

hey, its that dude from naruto... also this question is impossible, no one runs in frames per second... maybe its feet

faster runner takes 10.1seconds  via  R(runner1)=v(velocity in feetpersecond) * distance + hesitation time

slower runner r=v*d+hesititation time (zero in this case)
takes 11.11 recurring seconds to finish
so at t=10.1 the faster runner has the flag, then multiply that time by 9fps to see how close teh slower runner is, take that number from 100feet and you have your answer for the second part of the question (100-90.9= 9.1)

you should be able to do the graph from all this information...i can only hope